Question

2 jabari draws figure ghj in the coordinate plane. he wants to reflect figure ghj across the x - axis to form figure wxyz. a. draw a dashed line to show the line of reflection. b. draw figure wxyz.

Explanation:

Step1: Identify line of reflection

The x - axis is the line $y = 0$. Draw a dashed horizontal line along $y = 0$ on the coordinate - plane.

Step2: Reflect each vertex

For a point $(x,y)$ reflected across the x - axis, the new point is $(x, - y)$. Let's assume the coordinates of vertices of figure $GHJ$ are $G(x_1,y_1)$, $H(x_2,y_2)$, $J(x_3,y_3)$ and $I(x_4,y_4)$. The coordinates of the corresponding vertices of figure $WXYZ$ will be $W(x_1, - y_1)$, $X(x_2, - y_2)$, $Y(x_3, - y_3)$ and $Z(x_4, - y_4)$. Plot these new points and connect them to form figure $WXYZ$.

Since this is a drawing problem and cannot be fully represented in text, the steps above describe how to perform the drawing.

Answer:

a. Draw a dashed horizontal line along the x - axis ($y = 0$).
b. Use the rule $(x,y)\to(x, - y)$ to find the coordinates of the vertices of figure $WXYZ$ and then draw the figure by connecting the new vertices.